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Finding the Third Proportional to 380,299,095 and 833,504,022

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Solution

The third proportional to 380,299,095 and 833,504,022 is: 1,826,796,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,299,095 : 833,504,022 = 833,504,022 : x
  2. Step 2: Convert to fraction form
    380,299,095/833,504,022 = 833,504,022/x
  3. Step 3: Cross multiply
    380,299,095x = 833,504,022 × 833,504,022
  4. Step 4: Simplify right side
    380,299,095x = 694,728,954,690,176,512
  5. Step 5: Solve for x
    x = 694,728,954,690,176,512/380,299,095
  6. Step 6: Final answer
    x = 1,826,796,234.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.